Interval Superposition Arithmetic for Guaranteed Parameter Estimation

Authors

J. Su, Y. Zha, K. Wang, M.E. Villanueva, R. Paulen, B. Houska.

Reference

In Proceedings of the
12th IFAC Symposium on Dynamics and Control of Process Systems,
Florianopolis, Brazil,
IFAC-PapersOnLine, Volume 52(1), pages 574–579, April, 2019.

Abstract

The problem of guaranteed parameter estimation (GPE) consists in enclosing the set of all possible parameter values, such that the model predictions match the corresponding measurements within prescribed error bounds. One of the bottlenecks in GPE algorithms, commonly exploiting set inversion, is the construction of enclosures for the image-set of factorable functions. In this paper, we introduce a novel set-based computing method called interval superposition arithmetics (ISA) for the construction of enclosures of such image sets and its use in GPE algorithms. The main benefits of using ISA in the context of GPE lie in the improvement of enclosure accuracy and in the implied reduction of the number of set-membership tests in the set-inversion algorithm.

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Bibtex

@INPROCEEDINGS{Su2019,
author = {Su, J. and Zha, Y. and Wang, K. and Villanueva, M.E. and Paulen, R. and Houska, B.},
title = {Interval superposition arithmetic for guaranteed parameter estimation},
booktitle = {In Proceedings of the 12th IFAC Symposium on Dynamics and Control of Process Systems, Florianopolis, Brazil},
year = {2019},
pages = {574–579},
}